Newbetuts
.
New posts in solution-verification
Let $f$ be a cont. on $\mathbb{R}$ and define $G(x)=\int_0^{\sin (x)}f(t) dt $. Show that $G$ is differentiable on $\Bbb{R}$ and compute $G'$.
real-analysis
solution-verification
Cofinality of an infinite cardinal, alternative definition
set-theory
cardinals
solution-verification
ordinals
If $\gamma(b)$ is not conjugate to $\gamma(a)$ along $\gamma$. Show that $I(V, V)=I(J, J)$ if and only if $V=J .$
solution-verification
riemannian-geometry
prove the Riemann-Lebesgue lemma: $\int^b_af(x)\cos(nx)dx\rightarrow 0$ as $n\rightarrow \infty$ for any regulated function $f$
real-analysis
solution-verification
Solving matrix equations of the form $X = AXA^T + C$
linear-algebra
matrices
problem-solving
solution-verification
Is the set $S=\{(x,y)\in\Bbb R^2\mid e^{x^2+y^2}=2+x^2+y^2\}$ bounded?
real-analysis
multivariable-calculus
solution-verification
Solution verification $\left(A \cap B\right) \cup \left(A \cap B^c\right)$
elementary-set-theory
solution-verification
Prove:$A B$ and $B A$ has the same characteristic polynomial. [duplicate]
linear-algebra
matrices
solution-verification
Theorem 6.12(a) Of Baby Rudin. Alternative Proof Of $ \int_a^b \left( f_1 + f_2 \right) d \alpha = \int_a^b f_1 d \alpha + \int_a^b f_2 d \alpha$
real-analysis
integration
proof-writing
solution-verification
alternative-proof
Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD
abstract-algebra
solution-verification
unique-factorization-domains
For real numbers $z$ and $w$, $|(1+z)(1+w)-1| \leq (1+|z|)(1+|w|)-1$.
inequality
solution-verification
Show that $O(n,\mathbb{R})$ the set of all orthogonal matrices is closed in $M(n,\mathbb{R})$ [duplicate]
real-analysis
general-topology
limits
solution-verification
orthogonal-matrices
Spivak, Ch. 4 Graphs, Problem 15: Draw the graph of $f(x)=ax^2+bx+c$?
algebra-precalculus
solution-verification
quadratics
graphing-functions
Verification $\epsilon-\delta$ of this (false) limit
calculus
limits
analysis
solution-verification
epsilon-delta
Square root limit with $\epsilon-\delta$
calculus
limits
analysis
solution-verification
epsilon-delta
Exercise 1.5.xi from Emily Riehl's "Category Theory in Context" on properties of some functors
abstract-algebra
solution-verification
category-theory
adjoint-functors
functors
Doubt related to finding the gcd between two elements of an euclidian domain.
abstract-algebra
polynomials
solution-verification
How to prove this equality with rotation matrix
linear-algebra
solution-verification
vectors
rotations
Infinite false limit verification via $N-M$ method
calculus
limits
analysis
solution-verification
epsilon-delta
What numerical lower bound on the index of an odd perfect number is implied by the results in F.-J. Chen and Y.-G. Chen's 2014 paper?
number-theory
solution-verification
upper-lower-bounds
divisor-sum
perfect-numbers
Prev
Next